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Iteru [2.4K]
3 years ago
13

Solve the system -4x+8y=20 2x+2y=-30

Mathematics
2 answers:
mojhsa [17]3 years ago
8 0

Answer:

 {x,y} = {-35/3,-10/3}

Step-by-step explanation:

 -4x+8y=20;2x+2-30  

System of Linear Equations entered :

  [1] -4x + 8y = 20

  [2] 2x + 2y = -30

Solve by Substitution :

// Solve equation [2] for the variable  y 

[2] 2y = -2x - 30

[2] y = -x - 15

// Plug this in for variable  y  in equation [1]

  [1] -4x + 8•(-x -15) = 20

  [1] -12x = 140

// Solve equation [1] for the variable  x 

  [1] 12x = - 140 

  [1] x = - 35/3 

// By now we know this much :

  x = -35/3

  y = -x-15

// Use the  x  value to solve for  y 

  y = -(-35/3)-15 = -10/3 

Solution :

 {x,y} = {-35/3,-10/3} 

iris [78.8K]3 years ago
3 0

Answer:

x = -13 and y = -4

Step-by-step explanation:

-4x + 8y = 20 ................... eqn 1

2x + 2y = -30 ................... eqn 2

Step 1: Multiply eqn 1 by 2 and eqn 2 by 4

(-4x + 8y = 20) × 2

(2x + 2y = -30) × 4

we will have

-8x + 16y = 40 ....................eqn 3

8x + 4y = - 120 .................. eqn 4

Step 2: Add eqn 3 and 4 together

20y = - 80

Step 3: divide all through by 20

y = -80/20

y = -4

Step 4: Substitute -4 for y in eqn 1

-4x + 8(-4) = 20

-4x - 32 = 20

-4x = 20 + 32

-4x = 52

Step 5: Divide both sides by -4

x = 52/-4

x = -13

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The alternative hypothesis is given as

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The alternative hypothesis is given as

Hₐ: μ₀ ≠ 161.9 bushels

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Step-by-step explanation:

In hypothesis testing, the null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test. It usually maintains that, with random chance responsible for the outcome or results of any experimental study/hypothesis testing, its statement is true.

The alternative hypothesis usually confirms the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test. It usually maintains that significant factors other than random chance, affect the outcome or results of the experimental study/hypothesis testing and result in its own statement.

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The alternative hypothesis is given as

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